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The derivative of sec^(-1)(1/(2x^2-1)) w...

The derivative of `sec^(-1)(1/(2x^2-1))` with respect to `sqrt(1+3x)` at `x=-1/3` (a) does not exist (b) 0 (c) 1/2 (d) 1/3

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`y=sec^(-1)(1/(2x^2-1))` and `z=sqrt(1+3x)`
`frac{dy}{dx}=frac{frac{dy}{dx}}{frac{dz}{dz}}`
`=frac{-4x}{sqrt(1-(2x^2+1)^2)}.2/3 sqrt(1-3x)`
At `x=-1/3=>frac{dy}{dz}=0`
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